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math.NT2010★ 3 cited
Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2
Simon Marshall
We extend Holowinsky and Soundararajan's proof of quantum unique ergodicity for holomorphic Hecke modular forms on SL(2,Z), by establishing it for automorphic forms of cohomologica…
math.NT2010
Triple Product L Functions and Quantum Chaos on SL(2,C)
Simon Marshall
We extend the results of Watson, which link quantum unique ergodicity on arithmetic hyperbolic surfaces with subconvexity for the triple product L function, to the case of arithmet…
math.NT2010★ 1 cited
Bounds for multiplicities of automorphic forms of cohomological type on GL_2
Simon Marshall
We prove various results on the cohomology of arithmetic lattices arising from quaternion algebras over a number field with at least one complex place, including a strong restricti…